Departmental Bulletin Paper EXISTENCE OF GLOBAL DECAYING SOLUTIONS TO THE INITIAL BOUNDARY VALUE PROBLEM FOR QUASILINEAR VISCOELASTIC EQUATIONS OF p-LAPLACIAN TYPE WITH A DERIVATIVE NONLINEARITY

Nakao, Mitsuhiro

70 ( 1 )  , pp.63 - 82 , 2016-05-19 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NCID:AA10994346
Description
We prove the existence of global decaying solutions to the initial boundary value problem for the quasilinear wave equation of p-Laplacian type with Kelvin-Voigt dissipation and a derivative nonlinearity. To derive the required estimates of the solutions we employ a 'loan' method and a difference inequality for the energy.

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